दो संख्याओ के महत्तम समापवर्तक व लघुत्तम समापवर्तक क्रमशः 12 तथा 72 है। यदि इन संख्याओ का योगफल 60 हो, तो संख्या क्या होगी
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Let the two numbers be x and y. We know that.. product of two numbers = HCFx LCM. Therefore XY= 12 x 72= 864….(1) According to given condition, their sum is 60 Therefore x+y = 60……….(2) We know that (x-y)² =(x+y)² -4xy Substitute values from 1 & 2 (X-y)² = 3600–4x864=144 X-Y =√144= 12…(3) By solving 2 and 3 We get x=36 and y=24.
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Answer:
1080 का लघुतम
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